1. Let (A=begin{bmatrix}2 & 4 \ 3 & 2 end{bmatrix}), (B=begin{bmatrix}1 & 3 \ -2 & 5 end{bmatrix}), (A=begin{bmatrix}-2 & 5 \ 3 & 4 end{bmatrix}) Find each of the following: (i) A + B(ii) A – B(iii) 3A –…
10. The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is : (A) 27(B) 18(C) 81(D) 512 Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 &…
9. Which of the given values of x and y make the following pair of matrices equal (begin{bmatrix}3x+7 & 5 \ y+1 & 2-3x end{bmatrix}), (begin{bmatrix}0 & y-2 \ 8 & 4 end{bmatrix}) (A) (x={-1over 3}, y=7)(B) Not possible to…
8. (A = {[a_{ij}]}_{m×n}) is a square matrix, if (A) m < n(B) m > n(C) m = n(D) None of these Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35…
7. Find the value of a, b, c and d from the equation : (begin{bmatrix}a-b & 2a+c \ 2a-b & 3c+d end{bmatrix})=(begin{bmatrix}-1 & 5 \ 0 & 13 end{bmatrix}) Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 &…
6. Find the values of x, y and z from the following equations : Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 & -2 & 5over 2 & 12 \…
5. Construct a 3 × 4 matrix, whose elements are given by : (i) (a_{ij}={1 over 2}|-3i+j|) (ii) (a_{ij}={2i-j}) Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 & -2 & 5over…
4. Construct a 2 × 2 matrix, (A=[a_{ij}]), whose elements are given by : (i) (a_{ij}={{(i+j)^2} over 2}) (ii) (a_{ij}={i over j}) (iii) (a_{ij}={{(i+2j)^2} over 2}). Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 &…
3. If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements? Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 &…
2. If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements? Previous Next Matrices Exercise 3.1 1. In the matrix (A=begin{bmatrix}2 & 5 & 19 & -7 \ 35 &…
